Finding slope using Slope triangles

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you find the slope using slope triangles?

Back

To find the slope using slope triangles, draw a right triangle where the vertical leg represents the rise and the horizontal leg represents the run. The slope is then calculated as rise/run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no vertical change as the x-value changes.

Front

What is an undefined slope?

Back

An undefined slope occurs with vertical lines where there is no horizontal change, making the slope calculation (rise/run) impossible.

Front

If a slope triangle has a rise of 4 units and a run of 2 units, what is the slope?

Back

The slope is 4/2 = 2.

Front

If a slope triangle has a rise of -3 units and a run of 5 units, what is the slope?

Back

The slope is -3/5.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the significance of slope in real-world applications?

Back

Slope is used in various real-world applications such as determining the steepness of roads, analyzing trends in data, and understanding rates of change.